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Finding the Fourth Proportional to 534,126.48, 800,442.36 and 309,427.08

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Solution

The fourth proportional to 534,126.48, 800,442.36 and 309,427.08 is: 463,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,126.48 : 800,442.36 = 309,427.08 : x
  2. Step 2: Convert to fraction form
    534,126.48/800,442.36 = 309,427.08/x
  3. Step 3: Cross multiply
    534,126.48x = 800,442.36 × 309,427.08
  4. Step 4: Simplify right side
    534,126.48x = 247,678,542,163.11
  5. Step 5: Solve for x
    x = 247,678,542,163.11/534,126.48
  6. Step 6: Final answer
    x = 463,707.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.